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y=2x^4×ctgx
Derivada de la función/ y=2x^4/ y=2x^4×ctgx

Derivada de y=2x^4×ctgx

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Solución

Ha introducido [src] 
   4       
2*x *cot(x)
$$2 x^{4} \cot{\left(x \right)}$$ 
(2*x^4)*cot(x)
Gráfica
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Primera derivada [src] 
   4 /        2   \      3       
2*x *\-1 - cot (x)/ + 8*x *cot(x)
$$2 x^{4} \left(- \cot^{2}{\left(x \right)} - 1\right) + 8 x^{3} \cot{\left(x \right)}$$
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Segunda derivada [src] 
   2 /               /       2   \    2 /       2   \       \
4*x *\6*cot(x) - 4*x*\1 + cot (x)/ + x *\1 + cot (x)/*cot(x)/
$$4 x^{2} \left(x^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)} - 4 x \left(\cot^{2}{\left(x \right)} + 1\right) + 6 \cot{\left(x \right)}\right)$$
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Tercera derivada [src] 
    /                 /       2   \    3 /       2   \ /         2   \       2 /       2   \       \
4*x*\12*cot(x) - 18*x*\1 + cot (x)/ - x *\1 + cot (x)/*\1 + 3*cot (x)/ + 12*x *\1 + cot (x)/*cot(x)/
$$4 x \left(- x^{3} \left(\cot^{2}{\left(x \right)} + 1\right) \left(3 \cot^{2}{\left(x \right)} + 1\right) + 12 x^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)} - 18 x \left(\cot^{2}{\left(x \right)} + 1\right) + 12 \cot{\left(x \right)}\right)$$
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Gráfico
Derivada de y=2x^4×ctgx
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